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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 2/3-x <2*sqrt(x*(1-x)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 / 3 - x <2 * sqrt ( x * ( 1 - x ) ) (1)
From the definition field of √
x * ( 1 - x ) ≥ 0 (2 )
From inequality(1):
x > 0.091117
From inequality(2):
0 ≤ x ≤ 1
From inequalities (1) and (2)
0.091117 < x ≤ 1 (3)
The final solution set is :
0.091117 < x ≤ 1 Your problem has not been solved here? Please take a look at the hot problems !